Quantum semisimplicity conjecture for the exceptional category

Let $U$ be a subset of $\mathbb C^2$, and let the Cauchy completion denote the additive and idempotent completion. Quantum semisimplicity conjecture. There is an open dense subset $U\subset\mathbb C^2$ such that, for every $(v,w)\in U$, the Cauchy completion of $\mathsf{QExc}_{\mathbb C,v,w}$ is semisimple. This predicts generic semisimplicity for the two-parameter quantum exceptional family; the source separately discusses specialization to quantum group representation categories.